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Finding the Fourth Proportional to 403.14, 602.12 and 337.70

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Solution

The fourth proportional to 403.14, 602.12 and 337.70 is: 504.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.14 : 602.12 = 337.70 : x
  2. Step 2: Convert to fraction form
    403.14/602.12 = 337.70/x
  3. Step 3: Cross multiply
    403.14x = 602.12 × 337.70
  4. Step 4: Simplify right side
    403.14x = 203,335.92
  5. Step 5: Solve for x
    x = 203,335.92/403.14
  6. Step 6: Final answer
    x = 504.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.